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Bonnor-type black dihole solution in Brans-Dicke-Maxwell theory. (English) Zbl 1077.83509

Summary: It was originally thought that Bonnor’s solution in Einstein-Maxwell theory describes a singular point-like magnetic dipole. Lately, however, it has been demonstrated that indeed it may describe a black dihole, i.e. a pair of static, oppositely-charged extremal black holes with regular horizons. Motivated particularly by this new interpretation, in the present work, the construction and extensive analysis of a solution in the context of the Brans-Dicke-Maxwell theory representing a black dihole are attempted. It has been known for some time that the solution-generating algorithm of Singh and Rai produces stationary, axisymmetric, charged solutions in Brans-Dicke-Maxwell theory from the known such solutions in Einstein-Maxwell theory. Thus this algorithm of Singh and Rai’s is employed in order to construct a Bonnor-type magnetic black dihole solution in Brans-Dicke-Maxwell theory from the known Bonnor solution in Einstein-Maxwell theory. The peculiar features of the new solution including internal infinity nature of the symmetry axis and its stability issue have been discussed in full detail.

MSC:

83C57 Black holes
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[1] DOI: 10.1007/BF02750196 · Zbl 0119.23802 · doi:10.1007/BF02750196
[2] DOI: 10.1103/PhysRevD.2.1359 · Zbl 1227.83026 · doi:10.1103/PhysRevD.2.1359
[3] DOI: 10.1063/1.522935 · doi:10.1063/1.522935
[4] DOI: 10.1103/PhysRevD.47.5370 · doi:10.1103/PhysRevD.47.5370
[5] DOI: 10.1007/BF01327262 · doi:10.1007/BF01327262
[6] DOI: 10.1016/0370-2693(94)90623-8 · doi:10.1016/0370-2693(94)90623-8
[7] DOI: 10.1016/0550-3213(83)90462-5 · doi:10.1016/0550-3213(83)90462-5
[8] DOI: 10.1103/PhysRevD.53.7115 · doi:10.1103/PhysRevD.53.7115
[9] Sen A., J. High Energy Phys. 9710 pp 002–
[10] DOI: 10.1016/S0550-3213(00)00009-2 · Zbl 0947.81091 · doi:10.1016/S0550-3213(00)00009-2
[11] DOI: 10.1103/PhysRevD.61.104009 · doi:10.1103/PhysRevD.61.104009
[12] DOI: 10.1103/PhysRev.124.925 · Zbl 0103.21402 · doi:10.1103/PhysRev.124.925
[13] Weinberg S., Gravitation and Cosmology (1972)
[14] DOI: 10.1007/BF00756670 · Zbl 0435.35080 · doi:10.1007/BF00756670
[15] DOI: 10.1103/PhysRev.154.1229 · doi:10.1103/PhysRev.154.1229
[16] DOI: 10.1063/1.1665875 · doi:10.1063/1.1665875
[17] DOI: 10.1063/1.1705193 · Zbl 0149.23503 · doi:10.1063/1.1705193
[18] DOI: 10.1103/PhysRevD.60.024001 · doi:10.1103/PhysRevD.60.024001
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